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Finding the Fourth Proportional to 3,420.14, 5,130.21 and 1,960.22

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Solution

The fourth proportional to 3,420.14, 5,130.21 and 1,960.22 is: 2,940.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,420.14 : 5,130.21 = 1,960.22 : x
  2. Step 2: Convert to fraction form
    3,420.14/5,130.21 = 1,960.22/x
  3. Step 3: Cross multiply
    3,420.14x = 5,130.21 × 1,960.22
  4. Step 4: Simplify right side
    3,420.14x = 10,056,340.25
  5. Step 5: Solve for x
    x = 10,056,340.25/3,420.14
  6. Step 6: Final answer
    x = 2,940.33

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Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.